Home / 1,419.13-1,958.41-829.97

Finding the Fourth Proportional to 1,419.13, 1,958.41 and 829.97

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Solution

The fourth proportional to 1,419.13, 1,958.41 and 829.97 is: 1,145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.13 : 1,958.41 = 829.97 : x
  2. Step 2: Convert to fraction form
    1,419.13/1,958.41 = 829.97/x
  3. Step 3: Cross multiply
    1,419.13x = 1,958.41 × 829.97
  4. Step 4: Simplify right side
    1,419.13x = 1,625,421.55
  5. Step 5: Solve for x
    x = 1,625,421.55/1,419.13
  6. Step 6: Final answer
    x = 1,145.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.